An analytic solution for the stress distribution in a semi- infinite strip loaded on the transverse edge

dc.contributor.authorCheng, Fa-Hwaen
dc.contributor.departmentEngineering Mechanicsen
dc.description.abstractThis thesis presents an analytic solution for the stress distribution in a semi-infinite strip subjected to symmetrical loads on the transverse edge. Three different types of loading on the transverse edge are considered: (i) a segment of uniform load, (ii) two concentrated normal loads, and (iii) two concentrated tangential loads. The solution is constructed by the method of images. Under successive reflections the given strip and the resulting images become a semi-infinite plate with a series of periodic loads on the edge. The stress function for such a plate is constructed by superposing the known solutions of a simple nature. To satisfy the boundary conditions along the longitudinal edges of the semi-infinite strip, additional stress functions are introduced. When the boundary conditions are adjusted, a system of integral equations and a system of algebraic equations are obtained, which are further reduced. to a single system of algebraic equations. The latter system is solved by the method of successive approximations. In each case, the expressions for normal stresses along the longitudinal axis are derived and numerical values for these stresses are given.en
dc.description.degreeMaster of Scienceen
dc.format.extent72 leavesen
dc.publisherVirginia Polytechnic Instituteen
dc.relation.isformatofOCLC# 20653145en
dc.rightsIn Copyrighten
dc.subject.lccLD5655.V855 1966.C443en
dc.subject.lcshFinite strip methoden
dc.subject.lcshStrains and stressesen
dc.titleAn analytic solution for the stress distribution in a semi- infinite strip loaded on the transverse edgeen
dc.type.dcmitypeTexten Mechanicsen Polytechnic Instituteen of Scienceen
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